Lecture Mar 31 Cubic equations

Course announcementsHw 1 due Friday1B notaku now explained

P Prime Fp Up2 Ncp

for anyfield k kExy ring of poly

in yHmr KpU Ex Ekka

commuting

Notation KL x y non corn ring XY EYXk xy field of rational polynomials fg where

fig EklxyT and g 40Officehours

Today 3 4 pm zoom link in email

Reflection 1 due todayCanvas not gradescopeQuizzes on Monday

1st one is April 12 Total of 7 quizzes

1 Reviewofquadrats Can we arrange somehow for b

how can we solve Linear substitutionf Gt axZtbx te o X ne Xt L for constant 2

completing the sq ar x2tb tc 25tbCxt2 tLIf a o this is linear Weknow

Xe 46 is a solar It 22 22 tbxtb2tc

gsoweearassunea

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data zaxtbFor this to be 0 need

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X tZ fEzI solo for f SOZ.cubicequah.ioXtbxtC How do we solve

To solve azitaixtao 0 azx3tazxtqxtao o7

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x 321 922t

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Cos assume Quadratic formulay

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